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Finding the Third Proportional to 179,778.38 and 399,462.75

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Solution

The third proportional to 179,778.38 and 399,462.75 is: 887,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,778.38 : 399,462.75 = 399,462.75 : x
  2. Step 2: Convert to fraction form
    179,778.38/399,462.75 = 399,462.75/x
  3. Step 3: Cross multiply
    179,778.38x = 399,462.75 × 399,462.75
  4. Step 4: Simplify right side
    179,778.38x = 159,570,488,637.56
  5. Step 5: Solve for x
    x = 159,570,488,637.56/179,778.38
  6. Step 6: Final answer
    x = 887,595.57

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.